Answer
↓Steps Explained:↓
Convert 14 from decimal to hexadecimal
(base 16) notation:
Power Test
Raise our base of 16 to a power
Start at 0 and increasing by 1 until it is >= 14
160 = 1
161 = 16 <--- Stop: This is greater than 14
Since 16 is greater than 14, we use 1 power less as our starting point which equals 0
Build hexadecimal notation
Work backwards from a power of 0
We start with a total sum of 0:
160 = 1
The highest coefficient less than 15 we can multiply this by to stay under 14 is 14
Multiplying this coefficient by our original value, we get: 14 * 1 = 14
Add our new value to our running total, we get:
0 + 14 = 14
Hexadecimal (10 - 15) are represented by an (A-F) where 14 translates to the letter E
This = 14, so we assign our outside coefficient of E for this digit.
Our new sum becomes 14
Our hexadecimal notation is now equal to E
Final Answer
We are done. 14 converted from decimal to hexadecimal notation equals E16.Take the Quiz Switch to Chat Mode
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